CN108398188B - Light polarization state measurement and control system for quantum communication - Google Patents
Light polarization state measurement and control system for quantum communication Download PDFInfo
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Abstract
The invention discloses a system and a method capable of rapidly detecting the polarization state of completely polarized light and conveniently providing polarization state control, so that an open-loop active polarization compensation scheme can be adopted in a quantum communication polarization coding system, and the application of the quantum communication system in a complex environment is facilitated.
Description
Technical Field
The invention relates to the field of optical measurement control, in particular to measurement and control of an optical polarization state in quantum communication.
Background
In optical applications, the polarization state of an optical signal is a common optical parameter that needs to be measured and controlled. The stokes vector S, whose four components S can characterize the polarization state of any light, is assumed to propagate along the positive z-axis of the cartesian coordinate system xyz0、S1、S2And S3Can be defined as follows:
wherein S is0Represents the total light intensity of the light; s1Representing the light intensity difference of the linear polarization component of the light in the x direction and the linear polarization component in the y direction; s2Representing the light intensity difference of the linear polarization component of the light in the 45-degree direction and the-45-degree linear polarization component; s3Indicating the light intensity difference between the right-handed circular polarization component and the left-handed circular polarization component of the light.
From these four components S0、S1、S2And S3The resulting stokes vector S is conventionally represented by a 4 x 1 th order column vector:
where T represents the transpose of the matrix.
When the polarization state of light after passing through an optical system is studied by the stokes vector, the properties of the system can be represented by a 4 x 4 matrix called mueller matrix. Stokes vector S of the emitted lightoutEqual to the Mueller matrix M of the optical system multiplied by the Stokes vector S of the incident lightinNamely:
nowadays most polarization state detection is ascribed to eachStokes vector component S0-S3The measurement of (2).
At present, the measurement of the polarization state of light, namely the stokes vector measurement method, mainly comprises the following steps: mechanical rotation measurement and amplitude-division measurement without mechanical rotation. The mechanical rotation method mainly utilizes an 1/4 wave plate and a polarizer, and obtains four components of a Stokes vector respectively according to the light intensity output by the controlled light path by controlling the existence of the wave plate in the light path and the angle of the polarizer, thereby measuring the polarization state of the light. The method is used for measuring a single light path, a polarizer needs to be rotated, and the polarizer needs to be moved into and out of a wave plate, so that only the polarization state with slow change can be measured.
The amplitude division measurement method without mechanical rotation mainly divides an incident light wave into four light beams, the four light beams respectively pass through different wave plates, so that a matrix formed by the first row of a Mueller matrix of the four light beams is linearly independent, the measurement matrix is calibrated, and finally four components of a Stokes vector of the incident light are calculated according to the output light intensity of the detected four light beams. The method is simple in structure, but depends on calibration of the measurement matrix.
However, for the mechanical rotation measurement method, the measurement of the polarization state of light can be realized, and the control of the polarization state of light can also be realized, but the measurement speed is slow, the volume is large, and only specific control can be performed on the polarization state, and any polarization state cannot be obtained. For the amplitude division measurement, since it is a fixed measurement matrix, its device is also specific, and control of the output polarization state cannot be achieved.
Based on BB84 protocol quantum secret communication, two groups of quantum states under non-orthogonal basis vectors are sent randomly depending on the inaccuracy measurement principle and the non-clonality of quantum mechanics. In polarization encoding schemes, it is often assumed that | H/V > and | +/- > basis vectors are encoded, and the corresponding receiving party decodes the 2 encoded basis vectors using 2 polarization beam splitters. If the base vector of the sending party is not consistent with the base vector of the receiving party, errors are caused. In an actual communication link, due to the influence of environmental changes, the polarization state of light changes during transmission, so that base vectors of a transmitting party and a receiving party are inconsistent, and therefore, the polarization state changes caused by the environmental changes in the link need to be compensated. Therefore, for the decoding module in the polarization encoding scheme, not only the measurement of the polarization state of the encoded light pulse needs to be rapidly achieved, but also the polarization control capability needs to be provided so as to be able to provide polarization feedback control.
In a polarization encoded system, the encoded basis vector is in the form of fully polarized light, which satisfies S0 2＝S1 2+S2 2+S3 2Condition 1, therefore, only S needs to be determined at this time1、S2And S3The polarization state of the light can be determined. The decoding module in the polarization encoding system is also a polarization detection module, but it is mainly used for distinguishing linearly polarized light with a certain angle, and does not have the ability to distinguish all polarization states (for example, it is unable to distinguish left circularly polarized light and right circularly polarized light), but its main reason is that S in the stokes vector cannot be determined under the optical path design of the decoding module3Component value that will have
There are two solutions. In order to obtain the correct S3The component value is used for carrying out polarization compensation on the quantum communication link, and a closed-loop feedback control method is mostly adopted, and iterative computation is carried out for multiple times so as to circularly approach and uniquely obtain the component value. This closed loop approach requires multiple adjustments to the polarization controller, which is time consuming. The system which has slow environmental change and not high requirement on polarization compensation speed for the underground optical cable can be met, but the polarization compensation speed requirement for the link under the complex environment such as the aerial optical cable is extremely high, and the closed-loop feedback type polarization feedback mode faces higher pressure. In contrast, open-loop active polarization compensation is highly advantageous. The so-called open-loop active polarization compensation needs to acquire the current polarization state, namely, the rapid measurement of the light polarization state is realized, and then the polarization controller is controlled to complete the polarization compensation by calculating the needed polarization compensation amount. Therefore, there is a need for a polarization state measurement system and method for quantum communication systems, especially polarization encoding systems based on the BB84 protocolThe method not only can realize the rapid detection of the polarization state, but also can provide the control of the polarization state so as to realize open-loop active polarization compensation in a polarization coding system, which is very significant for realizing the quantum communication of a link under a complex environment.
Disclosure of Invention
Aiming at the problems of a decoding module in a quantum communication polarization coding scheme, the invention discloses a system and a method which can quickly detect the polarization state of completely polarized light and can conveniently provide polarization state control, so that an open-loop active polarization compensation scheme can be adopted in the quantum communication polarization coding system, and the application of the quantum communication system in a complex environment is facilitated.
In an aspect of the invention, an optical polarization state measurement and control system for quantum communication is disclosed. The system may include a polarization controller, a sub-amplitude measurement module, and a control module. The polarization controller may be disposed in front of the amplitude division measuring module in a propagation direction of the light to be measured, and configured to perform compensation control on the polarization state of the light to be measured. The amplitude division measuring module can be configured to expand one path of light to be measured into four paths of optical signals, and simultaneously receive and process the four paths of optical signals to correspondingly output four paths of light intensity signals. According to the four-path light intensity signal output by the amplitude division measuring module based on the light to be measured, the control module can calculate the S of the Stokes vector of the light to be measured1、S2And S3The only correct values of the first and second of the components, and the two possible values of the third component. In order to uniquely determine the stokes vector of the light to be measured, the control module may be further configured to control the polarization controller to apply a predetermined polarization compensation on the light to be measured to change the polarization state thereof, and to determine a unique correct value from two possible values of the third component according to the four-way light intensity signal output by the divided-amplitude measurement module based on the polarization-compensated light to be measured.
Further, the control module may be configured to correspond to two possible values of the third component at S1、S2And S3Determining and predetermining the component of the Poincare sphere with a Cartesian coordinate systemTwo possible points corresponding to the polarization state of the polarization-compensated light to be measured are calculated, and the first and second component values represented by these possible points are calculated.
Further, the control module may be configured to calculate, according to the divided-amplitude measurement module, values of first and second components of the predetermined polarization-compensated light to be measured based on the four-way light intensity signal of the predetermined polarization-compensated light to be measured output, and compare the values with the values of the first and second components represented by the two possible points, respectively.
Further, the control module may be configured to determine the only correct value of the two possible values of the third component based on a correspondence between the values of the first and second components of the light to be measured, which are compensated for by the predetermined polarization, calculated from the light intensity signal output by the divided-amplitude measuring module, and the values of the first and second components represented by the two possible points.
Alternatively, the polarization controller may be a squeeze-type fiber polarization controller. Therefore, the piezoelectric material can be caused to stretch and contract to different degrees by applying different voltages to the squeezing units, so that the optical fiber is squeezed to different degrees, and the polarization state of the light transmitted in the optical fiber is changed. Alternatively, the pressing unit may be a piezoelectric ceramic.
Alternatively, the divided amplitude measurement module may include one beam splitter, two polarization beam splitters, one half-wave plate, and four photodetectors. The system comprises a light source, a light splitter, a light detector, a polarization beam splitter, a light source and a light source, wherein the light to be detected is split into two paths of optical signals by the beam splitter, one of the two paths of optical signals is split into two paths of optical signals by one of the two polarization beam splitters to respectively enter two of four photoelectric detectors; the other of the two optical signals passes through the half-wave plate and then is split into two optical signals by the other of the two polarization beam splitters so as to respectively enter the other two of the four photodetectors.
Preferably, the half-wave plate may be placed at an angle of 22.5 ° with respect to the propagation direction of the light to be measured.
Preferably, the beam splitter is a 1:1 beam splitter.
Preferably, the control module may control the half-wave voltage to be applied to the extruded optical fiber polarization controller when a predetermined polarization compensation is applied to the light to be measured.
The polarization state measurement system has the advantages of compact structure, small loss and high response speed, and particularly has great advantages in quantum communication which is sensitive to loss and requires quick compensation for polarization state change in severe environment.
Drawings
FIG. 1 schematically illustrates an exemplary polarization state measurement and control system according to the present invention; and
FIG. 2 shows the Stokes vector component S1、S2And S3Is the poincare sphere of a cartesian coordinate system.
Detailed Description
Hereinafter, exemplary embodiments of the present invention will be described in detail with reference to the accompanying drawings. The following examples are provided by way of illustration in order to fully convey the spirit of the invention to those skilled in the art to which the invention pertains. Accordingly, the present invention is not limited to the embodiments disclosed herein.
The invention discloses a system for measuring and controlling the polarization state of fully polarized light. The polarization controller may be disposed before the amplitude division measuring module in the propagation direction of the light, and is used for performing compensation control on the polarization state of the light. The amplitude division measuring module can be configured to expand one incident light beam into four light signals and simultaneously receive and process the four light signals to correspondingly output four light intensity signals I1、I2、I3And I4. The control module may be configured to control polarization compensation of the polarization controller and calculate three components S of the Stokes vector from the four light intensity signals output from the divided amplitude measuring module1、S2And S3。
Preferably, the polarization controller may be a squeeze-type optical Fiber Polarization Controller (FPC). Further, the pressing unit in the FPC may preferably be a piezoelectric ceramic.
The method or process for measuring and controlling the polarization state of fully polarized light using the system of the present invention will now be described in detail to illustrate the polarization state measurement and control principles of the present invention. The measurement and control method or process of the present invention may be implemented by means of a control module and may specifically comprise the following steps.
The method comprises the following steps: the control module controls the polarization controller not to perform polarization state compensation on the light to be detected, for example, voltage is not applied to the FPC; and according to the four paths of light intensity signals I output by the amplitude division measuring module1、I2、I3And I4Calculating S of Stokes vector of light to be measured1、S2And S3Two of the components. The two components calculated in step one may be denoted as a first component and a second component, which may for example be S respectively1And S2Component, but is not so limited.
Step two: the control module calculates S of the Stokes vector according to the first component and the second component1、S2And S3The other of the components, which may be denoted as a third component, may be, for example, S3Component, but is not so limited. S of Stokes vector due to fully polarized light1、S2And S3Component satisfies S1 2+S2 2+S3 21, and S0The component is 1, so the third component will have both positive and negative solutions, e.g.
Obviously, in step two, the stokes vector S ═ S of the light to be measured cannot be determined uniquely yet0S1S2S3]TThere are two possible solutions. These two possible solutions may be referred to herein as a first stokes vector solution and a second stokes vector solution, respectively, where the first stokes vector solution may include S3The positive solution of the component, the second Stokes vector solution may comprise S3Negative solution of the component.
Step three: in the presence of a component S1、S2And S3Represented by the first and second Stokes vector solutions for the Poincar display of a Cartesian coordinate systemCorresponds to a point in the polarization state of (c). Since when polarization compensation is applied to the light to be measured by the polarization controller (e.g., by applying a voltage to the extruded fiber polarization controller via the control module to provide the corresponding polarization compensation), the position of the corresponding point on the Poincar sphere changes about an axis of rotation that is determined for a particular polarization controller, corresponding to the change in polarization state. Therefore, in this step, it is also calculated that the polarization controller applies to the light to be measured
In the case of polarization compensation of (a), the point corresponding to the first and second stokes vector solutions on the poincare sphere rotates by a corresponding angle around a specific rotation axis to reach two corresponding positions (which are respectively denoted as a first compensation point and a second compensation point), and the S corresponding to the first and second compensation points1、S2And S3And (4) components.
Step four: the control module controls the polarization controller to apply on the light to be measured
According to four paths of light intensity signals I output by the amplitude division measuring module1’、I2’、I3' and I4' calculating to derive first and second components of the polarization state of the polarization compensated light.
Step five: the control module compares the numerical values of the first and second components of the polarization state of the polarization-compensated light with the numerical values of the corresponding components in the stokes vectors corresponding to the first and second compensation points, respectively, and if the numerical values of the first and second components of the polarization state of the polarization-compensated light are closer to or even consistent with the numerical values of the corresponding components in the stokes vectors corresponding to the first compensation point, it indicates that the stokes vector of the light to be measured should take the first stokes vector solution, otherwise, the stokes vector of the light to be measured should take the second stokes vector solution.
Step six: eliminating polarization compensation applied by a polarization controller to the light to be measured, and outputting a Stokes vector of the light to be measured according to a judgment result so as to complete the measurement of the polarization state of the light to be measured; alternatively, the polarization controller may be controlled by the control module to apply a specific polarization compensation for polarization control further based on the stokes vector of the output light to be detected.
The following will further aid in understanding the polarization state measurement and control system and method of the present invention with an exemplary embodiment.
Fig. 1 shows an exemplary polarization state measurement and control system that is particularly suitable for a decoding module of a polarization encoding system based on the BB84 protocol in quantum communication. As shown, the measurement and control system may include: an extruded optical Fiber Polarization Controller (FPC); a 1:1 Beam Splitter (BS); two Polarizing Beam Splitters (PBSs); a half-wave plate (HWP) placed at an angle of 22.5 °; four photodetectors D1, D2, D3, D4; and a control module (not shown).
Referring to fig. 1, light to be measured is split into two paths of optical signals by the beam splitter BS, one path of optical signal passes through the polarization beam splitter PBS and then is split into two paths of light which respectively reach the detectors D1 and D2, and the other path of optical signal passes through the half-wave plate HWP and then is split into two paths of light by the other polarization beam splitter PBS so as to respectively reach the detectors D3 and D4. It can be seen that, in the exemplary embodiment, the beam splitter, the polarization beam splitter, the half-wave plate and the photodetector constitute an amplitude division measuring module for expanding one path of light into four paths of optical signals and simultaneously receiving and processing the four paths of optical signals to correspondingly output four paths of optical intensity signals I1、I2、I3And I4。
By calculating the mueller matrix corresponding to the optical path through which each optical signal passes, the relationship between the polarization state of the optical signal at each detector and the polarization state of the incident light can be obtained, which is specifically as follows.
For one optical signal reaching the detector D1, since it passes through the beam splitter BS and the polarization beam splitter PBS in sequence, the polarization state thereof can be represented by the following formula:
for one optical signal reaching the detector D2, since it passes through the beam splitter BS and the polarization beam splitter PBS in sequence, the polarization state thereof can be represented by the following formula:
for one optical signal arriving at the detector D3, since it passes through the beam splitter BS, the half-wave plate HWP and the polarization beam splitter PBS in sequence, its polarization state can be represented by the following formula:
for one optical signal arriving at the detector D4, since it passes through the beam splitter BS, the half-wave plate HWP and the polarization beam splitter PBS in sequence, its polarization state can be represented by the following formula:
taking the light intensities output by the detectors D1, D2, D3 and D4 as I respectively1、I2、I3And I4Then, the relationship between the stokes vector of the light to be measured and the output light intensity of each detector can be obtained according to the following equations (4) to (7):
and then can have
S1＝I1-I2(9)
S2＝I3-I4(10)
As can be seen from equations (9) and (10), the output intensity I of the four-way detector is now measured by the amplitude-dividing measuring module1、I2、I3And I4The control module can only uniquely determine the two components S in the Stokes vector of the light to be measured1And S2The so-called first and second components.
Three Stokes vector components S to be measured due to fully polarized light1、S2And S3Is equal to 1, in the case where the values of two of the components have been determined, the control module can now calculate the remaining third component S3Two possible solutions of
That is, accordingly, the stokes vector of the light to be measured now has a first stokes vector solution and a second stokes vector solution, which correspond to the third component S, respectively3Positive and negative solutions.
According to the present invention, it is further possible to determine a unique correct solution from the two possible solutions for the third component by applying a predetermined polarization compensation to the light to be measured by means of the poincare sphere, and thus to determine the correct stokes vector for the light to be measured.
FIG. 2 shows the Stokes vector component S1、S2And S3Is the poincare sphere of a cartesian coordinate system. In fig. 2, the rotation axis is a specific rotation axis corresponding to the FPC, and points a1, a2 correspond to the first and second stokes vector solutions of light to be measured, respectively.
Based on the Poincar sphere, the control module simulates two compensation points, namely A1 'and A2', reached by points A1 and A2 after rotating around a specific rotating shaft on the Poincar sphere under the condition of polarization compensation of light to be detected by applying half-wave voltage on the FPC; and calculating the corresponding Stokes vector components of the two compensation points, namely A1' [ S1、S2、S3]And A2' [ S1、S2、S3]。
Then, the control module controls to apply half-wave voltage on the FPC and outputs four paths of light intensity signals I according to the amplitude division measuring module1’、I2’、I3' and I4' calculating a value S for the first and second components of the polarization state of the polarization-compensated light1' and S2’。
And, the control module is to control the first and second polarization states of the polarization-compensated lightValue S of the component1’、S2' the values of the corresponding components in the stokes vectors corresponding to the first and second compensation points a1 ', a2 ', respectively, are compared. If S is1’、S2'and A1' [ S1、S2、S3]Closer or even identical, indicates that the stokes vector of the light to be measured should take the first stokes vector solution, otherwise the stokes vector of the light to be measured should take the second stokes vector solution.
Finally, the control module can return the voltage on the FPC to zero, thereby completing the measurement of the polarization state of the light to be measured. Or further, based on the determined polarization state of the light to be measured, applying a specific voltage on the FPC to provide the desired polarization compensation on the light to be measured, thereby completing the control of the polarization state of the light to be measured.
Those skilled in the art will readily recognize that in this exemplary embodiment, the voltage value applied to the FPC during measurement is not limited to a half-wave voltage, but may be any voltage value.
Based on the above description, in the present invention, because the polarization controller is introduced before the amplitude division measurement is performed, the polarization controller can be used to change the polarization state of the light to be measured to conveniently determine the value of the stokes vector component that cannot be uniquely determined in the previous amplitude division measurement, thereby simply completing the polarization state measurement related to the completely polarized light, and simultaneously, due to the polarization control function of the polarization controller itself, the polarization control function can also be provided, so that the open-loop active polarization compensation can be realized. In addition, the measurement and control system based on the invention has compact structure, small loss and high response speed, and particularly has great advantages in quantum communication which is sensitive to loss and requires rapid compensation for polarization state change in severe environment.
Claims (7)
1. An optical polarization state measurement and control system for quantum communication, comprising a polarization controller, a sub-amplitude measurement module, and a control module, wherein,
the polarization controller is arranged in front of the amplitude division measuring module in the transmission direction of the light to be measured and is used for performing compensation control on the polarization state of the light to be measured;
the amplitude division measuring module is configured to expand one path of the light to be measured into four paths of optical signals and simultaneously receive and process the four paths of optical signals so as to correspondingly output four paths of optical intensity signals;
the control module is configured to calculate S of Stokes vector of the light to be measured according to the four-way light intensity signal of the light output to be measured by the amplitude division measuring module1、S2And S3The only correct values of the first and second ones of the components, and the two possible values of the third component; it is characterized in that the preparation method is characterized in that,
the control module is further configured to:
controlling the polarization controller to apply a predetermined polarization compensation on the light to be measured to change the polarization state of the light to be measured, and determining a unique correct value from two possible values of the third component according to a four-way light intensity signal output by the amplitude division measuring module based on the polarization-compensated light to be measured, thereby determining a stokes vector of the light to be measured;
two possible values corresponding to said third component at said S1、S2And S3Determining two possible points corresponding to the polarization state of the light to be measured after the predetermined polarization compensation on a Poincar sphere with a component of a Cartesian coordinate system; and calculating the values of the first and second components represented by the two possible points;
calculating the values of the first and second components of the light to be measured after the predetermined polarization compensation according to the four paths of light intensity signals output by the light to be measured after the predetermined polarization compensation according to the amplitude division measuring module, and comparing the values with the values of the first and second components represented by the two possible points respectively;
determining the only correct one of the two possible values of the third component on the basis of the correspondence between the values of the first and second components of the predetermined polarization-compensated light to be measured, calculated from the light intensity signal output by the divided-amplitude measurement module, and the values of the first and second components represented by the two possible points.
2. The light polarization state measurement and control system of claim 1, wherein the polarization controller is a extruded fiber polarization controller.
3. The light polarization state measurement and control system of claim 1, wherein the amplitude-splitting measurement module comprises one beam splitter, two polarizing beam splitters, one half-wave plate, and four photodetectors.
4. The light polarization state measurement and control system according to claim 3, wherein, in the amplitude-division measurement module, the light to be measured is split into two optical signals by the beam splitter, and one of the two optical signals split by the beam splitter is split into two optical signals by one of the two polarization beam splitters to enter two of the four photodetectors, respectively; and the other path of the two paths of optical signals split by the beam splitter passes through the half-wave plate and then is split into two paths of optical signals by the other one of the two polarization beam splitters so as to respectively enter the other two of the four photoelectric detectors.
5. The light polarization state measurement and control system of claim 4, wherein the half-wave plate is placed at an angle of 22.5 ° with respect to the propagation direction of the light to be measured.
6. The light polarization state measurement and control system of claim 3, wherein the beam splitter is a 1:1 beam splitter.
7. The light polarization state measurement and control system of claim 2, wherein the control module controls application of a half-wave voltage across the extruded fiber polarization controller to apply the predetermined polarization compensation across the light to be measured.
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